Quantitative Approximation: Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979
Ronald A. DeVore, Karl Scherer
Academic Press, 1980 - Mathematics - 324 pages
On an inequality for the sharp function; On the best co-approximation in a Hilbert Space; What is the main diagonal of a biinfinite band matrix? Rational approximation and exotic Lipschitz Spaces; Some mathematical properties of empirical gibbs functions; Multivariate interpolation and the Radon transform, part II: Some further examples; Lacunary trigonometric interpolation on equidistant nodes; Monotone approximation by spline functions; Approximation by smooth multivariate splines on nonuniform grids; Approximation by small rank tensor products of splines; Variables knot, variable degree spline approximation to XB; On sharp necessary conditions for radial fourier multipliers; Approximating bivariate functions and matrices by nomographic functions; Diameters of classes of smooth functions; On estimates of diameters; Bounds for the error in trignometric hermite interpolation.
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On the Best Coapproximation in a Hilbert Space
Rational Approximation and Exotic Lipschitz Spaces
Some Mathematical Properties of Empirical Gibbs Functions
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Academic Press alternation apply approximation Approximation Theory assume Banach space best approximation bounded called characterization coefficients complete compute condition consider constant construction contains Corollary corresponding cubature formulae defined definition denote depending derivatives determinant diameters elements equality equations estimate exact example exists face fact finite fixed function give given Hence higher holds ideal implies independent inequality integral interpolation interval invariant knots least Lemma linear lower Math Mathematics matrix means method minimal norm obtain operator particular points polynomials polynomials of degree positive possible problem projection proof PROPOSITION prove REFERENCES refinement regular remark respect result satisfies sequence shown smooth space spline subspace sufficient Theorem tion trigonometric unique values vanishes vector weak Chebyshev zero